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# Unit: Applications of integration

AP Calc:

CHA (BI)

, CHA‑4 (EU)

, CHA‑5 (EU)

, CHA‑6 (EU)

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AP Calc:

CHA (BI)

, CHA‑4 (EU)

, CHA‑4.B (LO)

, CHA‑4.B.1 (EK)

AP Calc:

CHA (BI)

, CHA‑4 (EU)

, CHA‑4.C (LO)

, CHA‑4.C.1 (EK)

### Learn

### Practice

- Analyzing motion problems (integral calculus)Get 3 of 4 questions to level up!
- Motion problems (with integrals)Get 3 of 4 questions to level up!

AP Calc:

CHA (BI)

, CHA‑4 (EU)

, CHA‑4.D (LO)

, CHA‑4.D.1 (EK)

, CHA‑4.D.2 (EK)

, CHA‑4.E (LO)

, CHA‑4.E.1 (EK)

### Learn

### Practice

- Interpreting definite integrals in contextGet 3 of 4 questions to level up!
- Analyzing problems involving definite integralsGet 3 of 4 questions to level up!
- Problems involving definite integrals (algebraic)Get 3 of 4 questions to level up!

Level up on the above skills and collect up to 480 Mastery points

AP Calc:

CHA (BI)

, CHA‑5 (EU)

, CHA‑5.A (LO)

, CHA‑5.A.1 (EK)

### Learn

### Practice

- Area between a curve and the x-axisGet 3 of 4 questions to level up!
- Area between two curves given end pointsGet 3 of 4 questions to level up!
- Area between two curvesGet 3 of 4 questions to level up!

AP Calc:

CHA (BI)

, CHA‑5 (EU)

, CHA‑5.A (LO)

, CHA‑5.A.2 (EK)

### Learn

### Practice

- Horizontal areas between curvesGet 3 of 4 questions to level up!

AP Calc:

CHA (BI)

, CHA‑5 (EU)

, CHA‑5.A (LO)

, CHA‑5.A.3 (EK)

### Learn

- No videos or articles available in this lesson

### Practice

- Area between curves that intersect at more than two points (calculator-active)Get 3 of 4 questions to level up!

Level up on the above skills and collect up to 400 Mastery points

AP Calc:

CHA (BI)

, CHA‑5 (EU)

, CHA‑5.B (LO)

, CHA‑5.B.1 (EK)

### Learn

### Practice

- Volumes with cross sections: squares and rectangles (intro)Get 3 of 4 questions to level up!
- Volumes with cross sections: squares and rectanglesGet 3 of 4 questions to level up!

AP Calc:

CHA (BI)

, CHA‑5 (EU)

, CHA‑5.B (LO)

, CHA‑5.B.2 (EK)

, CHA‑5.B.3 (EK)

### Learn

### Practice

- Volumes with cross sections: triangles and semicirclesGet 3 of 4 questions to level up!

AP Calc:

CHA (BI)

, CHA‑5 (EU)

, CHA‑5.C (LO)

, CHA‑5.C.1 (EK)

### Learn

### Practice

- Disc method: revolving around x- or y-axisGet 3 of 4 questions to level up!

AP Calc:

CHA (BI)

, CHA‑5 (EU)

, CHA‑5.C (LO)

, CHA‑5.C.2 (EK)

AP Calc:

CHA (BI)

, CHA‑5 (EU)

, CHA‑5.C (LO)

, CHA‑5.C.3 (EK)

### Learn

### Practice

- Washer method: revolving around x- or y-axisGet 3 of 4 questions to level up!

AP Calc:

CHA (BI)

, CHA‑5 (EU)

, CHA‑5.C (LO)

, CHA‑5.C.4 (EK)

### Learn

### Practice

- Washer method: revolving around other axesGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 560 Mastery points

AP Calc:

CHA (BI)

, CHA‑6 (EU)

, CHA‑6.A (LO)

, CHA‑6.A.1 (EK)

### Practice

- Arc lengthGet 3 of 4 questions to level up!

AP Calc:

CHA (BI)

, CHA‑4 (EU)

, CHA‑4.B (LO)

, CHA‑4.C (LO)

, CHA‑4.E (LO)

### Learn

- No videos or articles available in this lesson

### Practice

- Contextual and analytical applications of integration (calculator-active)Get 3 of 4 questions to level up!

Level up on the above skills and collect up to 160 Mastery points

Up next for you:

Level up on all the skills in this unit and collect up to 2000 Mastery points!#### Unit test

### About this unit

Definite integrals are all about the accumulation of quantities. Let's see how they are applied in order to solve various kinds of problems.AP® is a registered trademark of the College Board, which has not reviewed this resource.